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132084979456 = 281929936401
BaseRepresentation
bin111101100000011100…
…0001101011100000000
3110121221020012011202011
41323000320031130000
54131002223320311
6140402355302304
712354121541443
oct1730070153400
9417836164664
10132084979456
1151020589051
1221722baa994
13c5bcb338a1
14657036565a
153680e10321
hex1ec0e0d700

132084979456 has 72 divisors (see below), whose sum is σ = 287100853200. Its totient is φ = 60409036800.

The previous prime is 132084979447. The next prime is 132084979469. The reversal of 132084979456 is 654979480231.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 132084979456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327145 + ... + 609256.

It is an arithmetic number, because the mean of its divisors is an integer number (3987511850).

It is a 1-persistent number, because it is pandigital, but 2⋅132084979456 = 264169958912 is not.

Almost surely, 2132084979456 is an apocalyptic number.

132084979456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132084979456 is an abundant number, since it is smaller than the sum of its proper divisors (155015873744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132084979456 is an equidigital number, since it uses as much as digits as its factorization.

132084979456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936465 (or 936451 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 132084979456 in words is "one hundred thirty-two billion, eighty-four million, nine hundred seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 256 304 464 551 608 928 1102 1216 1856 2204 2432 3712 4408 4864 7424 8816 17632 35264 70528 141056 936401 1872802 3745604 7491208 14982416 17791619 27155629 29964832 35583238 54311258 59929664 71166476 108622516 119859328 142332952 217245032 239718656 284665904 434490064 515956951 569331808 868980128 1031913902 1138663616 1737960256 2063827804 2277327232 3475920512 4127655608 4554654464 6951841024 8255311216 16510622432 33021244864 66042489728 132084979456